Design of asymmetric operators using a weighted least‐squares approximation
Author(s) -
Gerd Swinnen,
Kees Wapenaar,
Jan Thorbecke,
Guy Drijkoningen
Publication year - 2001
Publication title -
citeseer x (the pennsylvania state university)
Language(s) - English
Resource type - Conference proceedings
DOI - 10.1190/1.1816561
Subject(s) - computer science , least squares function approximation , mathematics , algorithm , mathematical optimization , statistics , estimator
A spatial convolution operator is designed so that it is stable and accurately matches the exact operator in the wavenumber domain in a desired wavenumber range. This can be done by a weighted least-squares optimization. Several applications require the use of an asymmetric operator. By introducing an asymmetric weight function, the properties of the operator can be in uenced to reach an optimal design.
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